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3 years ago

Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x?

Mathematics

2 answers:

lions [1.4K]3 years ago

6 0

Answer:

The possible values of x are 90°, 30° and 150°.

Step-by-step explanation:

Given that,

sin(2x) = cos(x) where 0° ≤ x < 180°

We know that, sin(2x) = 2 sinx cosx

2 sinx cosx = cosx

Subtract cosx on both sides

2 sinx cosx - cosx = 0

cosx (2sinx-1)=0

It means, cosx = 0 and (2sin x -1 ) = 0

cos x = cos0 and sinx = 1/2

x = 90° and x = 30°, 150°

Hence, the possible values of x are 90°, 30° and 150°.

ollegr [7]3 years ago

4 0

Answer:

For those too lazy to read answer above, it's D.

Step-by-step explanation:

Edge2021

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Juana is 4 feet 8 inches tall. She won 1st place in a cross country race. To receive her medal she stood on a platform that was

ioda

Answer:

The distance from the top of her head to the floor is 6 feet 2 inches.

Step-by-step explanation:

In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:

height = 4*12 + 8 = 56 inches

Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:

distance = height + platform = 56 + 18 = 74 inches

We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:

distance = 74/12 = 6 feet 2 inches

The distance from the top of her head to the floor is 6 feet 2 inches.

6 0

3 years ago

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)

liberstina [14]

Answer:

a+4=11b

Step-by-step explanation:

Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.

for example a( b+c) = ab+ac

Therefore, applying distributive property in asked eapression

12(2a - 6b+ 8) = 21(2a−6b+8)

24a+72b+96 = 42a-126b+168

198b=18a+72

9a +36=99b

3a+12=33b

a+4=11b

5 0

3 years ago

I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!

Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = $\frac{1-4}{5-2}$ = $\frac{-3}{3}$ = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = $\frac{0-8}{-7+7}$ = $\frac{-8}{0}$

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = $\frac{-3+3}{-4-6}$ = $\frac{0}{-10}$ = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

m = $\frac{2-5}{-1-3}$ = $\frac{-3}{-4}$ = $\frac{3}{4}$ ← positive slope

7 0

3 years ago

Two quantities x and y are connected by the formula y=7-9x.

WINSTONCH [101]

Answer:

a very nice qualification a very nice

8 0

3 years ago

Read 2 more answers

HELP BRAINLIEST! I think its none of the above

mamaluj [8]

Answer:

180 degrees

Explanation:

So if it was 90 degrees it would be the same thing just fliped. 180 means that it did a half a rotaion so it would be the mirrored of the original object. That is what we see the second figure is mirrored of the other. 90 degrees also would be different.

<h2><u>Answer: 180 degrees</u></h2>

7 0

3 years ago

Read 2 more answers